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Finding the Fourth Proportional to 509,396.96, 764,051.42 and 172,430.40

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Solution

The fourth proportional to 509,396.96, 764,051.42 and 172,430.40 is: 258,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,396.96 : 764,051.42 = 172,430.40 : x
  2. Step 2: Convert to fraction form
    509,396.96/764,051.42 = 172,430.40/x
  3. Step 3: Cross multiply
    509,396.96x = 764,051.42 × 172,430.40
  4. Step 4: Simplify right side
    509,396.96x = 131,745,691,971.17
  5. Step 5: Solve for x
    x = 131,745,691,971.17/509,396.96
  6. Step 6: Final answer
    x = 258,630.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.